Parameterized Complexity

By: Rodney G. Downey, M.R. Fellows

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Hardcover | 6 November 1998

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556 Pages

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23.39 x 15.6 x 3.02

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An approach to complexity theory which offers a means of analysing algorithms in terms of their tractability. The authors consider the problem in terms of parameterized languages and taking "k-slices" of the language, thus introducing readers to new classes of algorithms which may be analysed more precisely than was the case until now. The book is as self-contained as possible and includes a great deal of background material. As a result, computer scientists, mathematicians, and graduate students interested in the design and analysis of algorithms will find much of interest.

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Preface
Acknowledgements
List of Figures
Computers, Complexity, and Intractability from the Parametric Point of View	p. 1
Parameterized Tractability	p. 21
The Basic Definitions	p. 23
Some Ad Hoc Methods: The Methods of Bounded Search Tree and Problem Kernel	p. 29
Optimization Problems, Approximation Schemes, and Their Relation with FPT	p. 49
The Advice View Revisited and LOGSPACE	p. 61
Methods via Automata and Bounded Treewidth	p. 67
Well-Quasi-Orderings and the Robertson-Seymour Theorems	p. 143
Miscellaneous Techniques	p. 211
Parameterized Intractability	p. 225
Reductions	p. 227
The Basic Class W[1] and an Analog of Cook's Theorem	p. 235
Some Other W[1]-Hardness Results	p. 255
The W-Hierarchy	p. 283
Beyond W[t]-Hardness	p. 315
Fixed Parameter Analogs of PSPACE and k-Move Games	p. 331
Provable Intractability: The Class XP	p. 341
Structural and Other Results	p. 351
Another Basis for the W-Hierarchy, the Tradeoff-Theorem, and Randomized Reductions	p. 353
Relationships with Classical Complexity and Limited Nondeterminism	p. 363
The Monotone and Antimonotone Collapse Theorems: Monotone W[2t + 1] = W[2t] and Antimonotone W[2t + 2] = W[2t + 1]	p. 377
The Structure of Languages Under Parameterized Reducibilities	p. 389
A Problem Compendium and Guide to W-Hierarchy Completeness, Hardness, and Classification; and Some Research Horizons	p. 441
Research Horizons	p. 481
References	p. 489
Index	p. 517
Table of Contents provided by Blackwell. All Rights Reserved.

Parameterized Complexity

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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Paperback

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